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Finding the Fourth Proportional to 4,802, 6,626.76 and 2,594

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Solution

The fourth proportional to 4,802, 6,626.76 and 2,594 is: 3,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802 : 6,626.76 = 2,594 : x
  2. Step 2: Convert to fraction form
    4,802/6,626.76 = 2,594/x
  3. Step 3: Cross multiply
    4,802x = 6,626.76 × 2,594
  4. Step 4: Simplify right side
    4,802x = 17,189,815.44
  5. Step 5: Solve for x
    x = 17,189,815.44/4,802
  6. Step 6: Final answer
    x = 3,579.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.